41 results about "Quadratic formula" patented technology

An arithmetic process of a quadratic formula that is contained in an exponent of a CAZAC sequence-defining expression is converted to an arithmetic process of a recursion formula to find the above-described exponent, the above-described exponent that was found is used to generate a CAZAC sequence, and the above-described CAZAC sequence that was generated is taken as the reference signal for transmitting and receiving or as a random access preamble signal.

A method for estimating a real estate price index based on a repeat sales model. The method includes the steps of eliminating corrupt portions of data used to determine price indices; regressing a difference in a log price of a second sale minus a log price of a first sale for a property on a set of dummy variables, eliminating the observations with zero residuals for estimating the dispersion function; using a quadratic formula to model a dispersion of residual values with respect to time interval; using the quadratic formula to solve for a dispersion for each time interval starting with a minimum positive value; determining a minimum dispersion value that is a value calculated from the quadratic formula; determining a maximum dispersion value that is calculated from the quadratic formula for each time interval starting with a minimum positive value, wherein the dispersion values are prevented from decreasing with increasing time intervals; repeating the step of regressing using the inverse of the square root of fitted values from the quadratic formula as weights; identifying and selecting the time periods and associated data for estimating a price index that covers a particular time period; excluding the index values which are determined to be unreliable; and obtaining an index series for a lower geographic level by using the index series of a higher geographic level.

A method is for scaling data from a source data to a destination data, wherein a function f(x) is determined to describe the destination data, in which x is a deviation from a current reference point 0. Two source data of f(0) and f(1) with respect to the point 0 and the point 1 are used as reference data. The method is performed by setting an initial condition about a primary slop D=f(1)-f(0), f(0.5)=[f(1)+f(0)]/2, a gain factor G>1, and f'(0.5)=DG=[f(1)-f(0)]G. The f(x) is taken by a quadratic equation of f(x)=ax<superscript>2>+bx+c, which should pass f(0), f(1), f(0.5) and satisfy the slop <custom-character file="US20030195908A1-20031016-P00900.TIF" wi="20" he="20" id="custom-character-00001"/>f f'(0.5). Coefficients of a, b, and, c, are respectively solved in two ranges of 0 x<0.5 and 0.5<=x<1, so as to obtain the function f(x) being about symmetric to the middle point at 0.5. The same procedure is applied for a next source data. Preferably, the function is symmetric to the middle point at (0.5, f(0.5)). Also and, a Z transformation of Z(z)=X(x)-0.5 is applied to reduce the calculation load by mapping the one range to the other one range.

The invention discloses a parameter estimation and fitting method for collecting supporting point frequency in a vibrating wire mode. The method comprises the following steps that a stepping value is set, and collecting supporting points are measured to obtain a plurality of sets of frequency values; the frequency values obtained through measurement are calculated, and an average frequency value and a variance estimator are obtained; a frequency fitting function is constructed, the minimum value of a mean square error is calculated, and a fitting frequency functional equation is determined; a mean square error is calculated, a quadratic equation of the frequency fitting function is obtained through fitting, a correlation coefficient and mean absolute deviation are obtained through the quadratic equation of the frequency fitting function, and a frequency fitting curve is constructed; compared with the frequency fitting curve, whether errors exist in the frequency values of the collecting supporting points under the current stepping value or not is analyzed. The precision of fitting can be further improved, the fitting curve is generated, the frequency values can be corrected in time, and therefore the method can be used in the process of determining the parameters of the collecting supporting points of a communication network well.

The invention provides a zoom pan-tilt camera calibration method and device and a storage medium. The calibration method comprises the steps of obtaining a first image at a first position and a secondimage at a second position under the same multiplying power, and the first image and the second image have an overlapped view field; extracting a plurality of first feature points of the first imageand a plurality of second feature points of the second image, and matching the plurality of first feature points with the plurality of second feature points to obtain a plurality of groups of featurepoint pairs; according to the multiple sets of feature point pairs and the camera imaging model, constructing multiple sets of unary quadratic equations with the focal length initial value as a dependent variable, and obtaining calibration parameters under the same multiplying power by solving the unary quadratic equations. According to the calibration method provided by the invention, the solvingprocess is simplified, and the calibration efficiency and flexibility are improved.

The invention discloses a simplified calculation method for the normal section flexural capacity of a rusted reinforced concrete beam. The simplified calculation method comprises the following steps: (1) measuring and calculating basic parameters of the rusted reinforced concrete beam before and after rusting; (2) judging a normal section bending damage mode; and (3) calculating the normal section flexural capacity of the rusted reinforced concrete beam under different failure modes. According to the simplified calculation method for the normal section flexural capacity of the rusted reinforced concrete beam, on the basis of judging a normal section flexural failure mode, the highest equation involved in solving is a unary quadratic equation, and the simplified calculation method has the advantages of being clear in concept and easy and convenient to calculate; technicians in the field can conveniently, rapidly and accurately calculate the normal section flexural capacity of the rusted reinforced concrete beam, and support is provided for safety evaluation of a service reinforced concrete structure.

The invention discloses a magnetic gradient tensor positioning method based on a symmetrical configuration plane array of a tri-axial magnetometer shaped like a Chinese character 'ri', and belongs tothe technical field of magnetic target inversion. The method comprises the steps of configuring six three-axis magnetometers according to a specific configuration, so that sensitive axes of the related three-axis magnetometers are symmetrical about points O, O1 and O2 to form a symmetrical configuration plane array; synchronously acquiring measurement outputs of the six three-axis magnetometers byusing a multi-channel data acquisition system, converting the measurement outputs into a resolving coordinate system to obtain independent component values for calculating magnetic gradient tensors at symmetric points O, O1 and O2, constructing a corresponding magnetic gradient tensor matrix, and calculating a mean value of distances between a magnetic dipole and the symmetric points O, O1 and O2; calculating a position coordinate value x of the magnetic dipole; calculating a unary quadratic equation by utilizing a bisection method according to the coordinates; abandoning complex roots, solving a difference value set corresponding to the remaining real roots, selecting an equation correct solution according to a minimum difference value principle, and obtaining the position coordinates yand z of the magnetic dipole. The method is small in calculation amount and can realize quick positioning.

The invention discloses a method and device for calculating bolt stress caused by additional torque and a storage medium, and belongs to the technical field of bolt stress calculation. The method comprises the following steps: step S100, adopting a similar triangle principle to obtain the deformation under an ith bolt load, the distance from the center to the ith bolt load, the distance from a compression bolt to a center hole and the ratio relation of the axial deformation of the compression bolt; step S200, substituting the relationship among the distance from the center to the ith bolt load, the distance Li between the bolt holes on the two sides and the distance a from the compression bolt to the center hole into the relational expression in the step S100, and performing corresponding transformation to obtain the deformation under the ith bolt load; step S300, solving a quadratic equation of one unknown about the distance a from the compression bolt to the center hole; step S400, solving the maximum load of the bolt; and step S500, solving the stress value of the bolt by using a tensile stress calculation formula. The method provided by the invention has strong guidance and is suitable for popularization and application.

The embodiment of the invention provides a fault positioning method of an optical network, electronic equipment and a computer readable storage medium. The method comprises the following steps: collecting multiple pieces of fault position information and alarm information of an optical network; generating a fault alarm membership relationship according to each piece of alarm information and the plurality of pieces of fault position information; a multivariate quadratic equation is used for processing the fault position information and the fault alarm membership relation to generate a first matrix, the multivariate quadratic equation is used for processing the alarm information and the multiple pieces of fault position information to generate multiple second matrixes, the first matrix is used for describing the membership degree between each piece of alarm information and the multiple pieces of fault position information, the second matrix is used for describing an alarm sequence between the alarm information and the multiple pieces of fault position information; processing the first matrix and the plurality of second matrixes by using a coherent Isin machine to obtain a target Isin value; and determining target fault position information corresponding to the target Isin value from the multiple pieces of fault position information according to the target Isin value.

The invention discloses a calculation method of an expansive mudstone cutterhead scraper extrapolation angle. The calculation method comprises the steps of calculation assumption, calculation of soil body volume difference in different states and calculation of the angle of a cutter inserted into a soil body. The method has the beneficial effects that the expansibility coefficients of the cutter and the soil body are combined to list the quadratic equation, and the data of the shield cutter head are collected on site, so that the angle of the scraper, inserted into the soil body, of the shield cutter can be conveniently calculated when the expansibility coefficients in the expansibility soil layer are different; the length of the shield expanding excavation cutter can be conveniently obtained through the angle obtained through calculation, the cutter angle can be changed according to different soil layers so that the shield excavation diameter can be changed, economic losses caused by extrusion of a shield tunneling machine due to expansion of the soil layers and trapping of the shield tunneling machine can be effectively avoided, and a guiding effect is provided for optimization of a cutter head cutter.

The invention provides a single-image space resection numerical calculation method, which comprises the following steps of: selecting three control points which are not on the same straight line from an image film, and constructing a ternary quadratic equation set according to the principle that vertex angles among corresponding light rays of three photographing light rays in an image space and an object space are equal; solving the undetermined values of the six exterior orientation elements in two steps, so that the position and attitude information of the shooting center of the shot image at the shooting moment can be determined. According to the method, the exterior orientation elements of the picture can be accurately estimated without providing any initial value, and the method is suitable for vertical photography, large-dip-angle photography and the like, and has the advantages of relatively simple and convenient calculation process, high calculation speed, accurate calculation result, stability, reliability and the like.

The invention relates to a synchronous phasor calculation method and system for filtering noise. The method comprises the following steps: sampling a signal of a power system; windowing the sampling signal by adopting a two-week Hamming window; calculating a rotating phasor of the windowed signal relative to a rated frequency rotating coordinate system; constructing a unary quadratic equation by utilizing the three equally-spaced rotating phasors, and solving and obtaining a phasor z; obtaining a phase and a frequency of the signal and a conjugate phasor of the phasor z based on the phasor z;and correcting the rotating phasor based on the phase, the frequency and the conjugate phasor to obtain a synchronous phasor of the signal. Dynamic behaviors of a power system are considered, and themethod and system are not easily interfered by noise such as frequency offset and harmonic waves; the influence of noise on synchronous phasor measurement is effectively reduced; when the frequency ofthe system deviates from the rated frequency, the influence of spectrum leakage caused by fixed-interval sampling is reduced, and phasor and frequency measurement has high precision.

The invention belongs to the technical field of video SAR moving target tracking and positioning, and particularly relates to a positioning method based on a video SAR shadow. The method comprises the following steps: firstly, acquiring the absolute coordinates of a reference point in a video SAR imaging area and detecting the imaging result of the reference point to obtain the relative coordinates and absolute coordinates of the reference point and the relative coordinates of a target, then establishing an overdetermined equation set, simplifying the equation set, merging common unknown parameters into a new variable; and finally, using a least square method to complete the estimation of target parameters. According to the algorithm, an equation set is ingeniously used for solving the consensus of quadratic parameters, a quadratic equation set is replaced by a linear equation set, and the moving target estimation error is effectively reduced by using the parameter estimation advantage of the least square method.